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Simplifying -7(2n + -4) + 5n = 82 Reorder the terms: -7(-4 + 2n) + 5n = 82 (-4 * -7 + 2n * -7) + 5n = 82 (28 + -14n) + 5n = 82 Combine like terms: -14n + 5n = -9n 28 + -9n = 82 Solving 28 + -9n = 82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -9n = 82 + -28 Combine like terms: 28 + -28 = 0 0 + -9n = 82 + -28 -9n = 82 + -28 Combine like terms: 82 + -28 = 54 -9n = 54 Divide each side by '-9'. n = -6 Simplifying n = -6
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